5x-6y=9. If we replace y with (-2/3), we get 5x-6(-2/3)=9. Now to solve for x, we have to get x alone on one side of the equals sign. So let's move everything on the left side except for the x (which includes the 5 that the x is being multiplied by). Doing this, we get 5x=6(-2/3)+9. We might as well multiply the 6 by the (-2/3) to get it out of the way now. 6 x -2/3 is -4, so we now have 5x=-4+9. Add the -4 and 9 to get 5. Now we have 5x=5! So all we have to do is divide 5x by 5 to get x alone without being multiplied by anything. But wait! If we divide one side of the equation by 5 we have to divide the other side as well, so 5x/5 is x and 5/5 is 1. Finally, we are left with x=1. And that is the x-value. 1.